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Question

If x=(25)30÷(25)28 and y=(25)2×(25)3, then find the value of (x3÷y)2.

A
540
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B
25
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C
425
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D
254
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Solution

The correct option is C 425
Using am×an=am+n and am÷an=amn

x=(25)30÷(25)28=(25)2

y=(25)2×(25)3=(25)5

x3=((25)2)3=(25)6

x3÷y=(25)6÷(25)5=2 5

(x3÷y)2=(2 5)2=425

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